I think it depends on your link building efforts. If you are building back links aggressively within 2 months time your site should be able to get a page rank
No one can tell the exact time taken by the google to assign or give a page rank to any website or page. All we have to do is keep working on the off-page seo (creating as many do follow backlinks from the quality and high PR websites) and on-page seo (creating quality, relevant and original content in our website).